Subjects algebra

Percent Fractions 790397

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1. **Problem:** Convert 65% to decimal and fraction. 2. **Formula:** Percent to decimal: divide by 100, so $65\% = \frac{65}{100} = 0.65$. 3. **Fraction:** Simplify $\frac{65}{100}$ by dividing numerator and denominator by 5: $$\frac{\cancel{65}^{{13}}}{\cancel{100}^{{20}}} = \frac{13}{20}$$ 4. **Answer:** Decimal is $0.65$, fraction is $\frac{13}{20}$. --- 1. **Problem:** Find percentage of 21 out of 25 students present. 2. **Formula:** Percentage = $\frac{\text{part}}{\text{whole}} \times 100$. 3. Calculate: $$\frac{21}{25} \times 100 = 84\%$$ 4. **Answer:** $84\%$ of students were present. --- 1. **Problem:** Convert decimal 0.025 to fraction. 2. **Formula:** Decimal to fraction: $0.025 = \frac{25}{1000}$. 3. Simplify by dividing numerator and denominator by 25: $$\frac{\cancel{25}^1}{\cancel{1000}^{40}} = \frac{1}{40}$$ 4. **Answer:** Equivalent fraction is $\frac{1}{40}$. --- 1. **Problem:** Find percentage of homework remaining if $\frac{2}{5}$ is completed. 2. Remaining fraction: $1 - \frac{2}{5} = \frac{5}{5} - \frac{2}{5} = \frac{3}{5}$. 3. Convert $\frac{3}{5}$ to percentage: $$\frac{3}{5} \times 100 = 60\%$$ 4. **Answer:** $60\%$ of homework is remaining. --- 1. **Problem:** Find percentage of a dollar that is one quarter and two dimes. 2. Values: one quarter = 25 cents, two dimes = 2 \times 10 = 20 cents. 3. Total cents: $25 + 20 = 45$ cents. 4. Percentage of a dollar (100 cents): $$\frac{45}{100} \times 100 = 45\%$$ 5. **Answer:** One quarter and two dimes equal $45\%$ of a dollar.